Lascoux polynomials and subdivisions of Gelfand-Zetlin polytopes
arXiv:2312.01417 · doi:10.1093/imrn/rnae188
Abstract
We give a new combinatorial description for stable Grothendieck polynomials in terms of subdivisions of Gelfand-Zetlin polytopes. Moreover, these subdivisions also provide a description of Lascoux polynomials. This generalizes a similar result on key polynomials by Kiritchenko, Smirnov, and Timorin.
24 pages, color pictures. v2: minor corrections, introduction rewritten, final version